Question

which angles are corresponding angles?
∠mnl and ∠rqn
∠pqn and ∠rqs
∠rqn and ∠onl
∠pqn and ∠mnq

Explanation:

Step1: Recall corresponding angles definition

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others.

Step2: Analyze each option

• For $\angle MNL$ and $\angle RQN$: They are in the same relative position (upper - right at their respective intersections) with respect to the transversal $L$ and the lines $p$ and $MO$.
• For $\angle PQN$ and $\angle RQS$: $\angle PQN$ and $\angle RQS$ are vertical angles (formed by the intersection of two lines), not corresponding angles.
• For $\angle RQN$ and $\angle ONL$: They do not have the same relative position as corresponding angles should.
• For $\angle PQN$ and $\angle MNQ$: $\angle PQN$ and $\angle MNQ$ are alternate interior angles (if we assume some parallel line properties, but they are not in the corresponding - angle relative position).

Answer:

$\angle MNL$ and $\angle RQN$